Abstract Quotes
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We humans have a wide range of abilities that help us perceive and analyze mathematical content. We perceive abstract notions not just through seeing but also by hearing, by feeling, by our sense of body motion and position. Our geometric and spatial skills are highly trainable, just as in other high-performance activities. In mathematics we can use the modules of our minds in flexible ways - even metaphorically. A whole-mind approach to mathematical thinking is vastly more effective than the common approach that manipulates only symbols.
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Where human eyes have never seen, where human beings have never been, I build a world of abstract dreams, and I wait for you.
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Far from being antecedent principles that animate the process, law, language, truth are but abstract names for its results.
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For example, in painting the form arises from abstract elements of line and color, while in cinema the material concreteness of the image within the frame presents - as an element - the greatest difficulty in manipulation.
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Algebraic geometry seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adherents who are secretly plotting to take over all the rest of mathematics. In one respect this last point is accurate.
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The more horrifying the world becomes, the more art becomes abstract.
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There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.
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Wrong dressed out in pride, pomp, and circumstance has more attraction than abstract right.
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I try to get out of a lot of things by just kind of morphing and and shifting - and that's the way I got into music in general, by being really into free music and improvised jazz music, and stuff like that.To me, the most abstract thing that you could possibly do in music is make a song that's under four minutes long. It doesn't make any sense to me.
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In the abstract, it might be tempting to imagine that irreducible complexity simply requires multiple simultaneous mutations - that evolution might be far chancier than we thought, but still possible. Such an appeal to brute luck can never be refuted... Luck is metaphysical speculation; scientific explanations invoke causes.
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A mathematician is an individual who calls himself a 'physicist' and does 'physics' and physical experiments with abstract concepts.
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The artist must ask you to think of the world in a different way, and sometimes it's a more abstract way; sometimes it's a completely different kind of colouring.
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A true noun, an isolated thing, does not exit in nature. Things are only the terminal points, or rather the meeting points of actions, cross sections cut through actions, snapshots. Neither can a pure verb, an abstract motion, be possible in nature. The eye sees noun and verb as one, things in motion, motion in things.
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The Armstrong record that I personally like the most, is a recording of a song by Harold Arlen called, "I Got a Right to Sing the Blues" . Most of Armstrong's solos tended to stick pretty close to the melody. But for some reason, it's like he let go of the tether and suddenly he's playing this beautiful high, almost abstract line that's floating above the beat. I compare it to the way that a 19th century operatic tenor might have sang an Aria because he's just completely let loose of the background and he's making this magic sort of flying above the staff.
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Abstract pictures are fictive models, because they make visible a reality that we can neither see nor describe, but whose existence we can postulate.
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Like Aristotle, conservatives generally accept the world as it is; they distrust the politics of abstract reason – that is, reason divorced from experience.
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The common willing of a common world is an eminently practical undertaking and not in the least abstract.
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Oh abstractions are just abstract until they have an ache in them.
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The mind is inherently embodied. Thought is mostly unconscious. Abstract concepts are largely metaphorical.
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The engine room really is a metaphor for my head, and all the things bangin' around, and I think I share that with a lot of people. A lot of memories, and a lot of hopes, and a lot of just dealing with the day-to-day. Sometimes it gets all abstract.
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Art is only abstract when you look the other way.
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There is nothing more incredible and moving and appealing than good music, and it cannot always be reduced to a story, to exposition. It's so much more abstract and brilliant.
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What persuades men and women to mistake each other from time to time for gods or vermin is ideology. One can understand well enough how human beings may struggle and murder for good material reasons - reasons connected, for instance, with their physical survival. It is much harder to grasp how they may come to do so in the name of something as apparently abstract as ideas. Yet ideas are what men and women live by, and will occasionally die for.
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The poetic beauty of Davy's mind never seems to have left him. To that circumstance I would ascribe the distinguishing feature in his character, and in his discoveries,-a vivid imagination sketching out new tracts in regions unexplored, for the judgement to select those leading to the recesses of abstract truth.
